Is there a reason why you mentioned AND in the title?
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sdcvvcApr 21 '12 at 19:41

@FernandoMartin — It was firstly “number-theory elementary-number-theory algebraic-number-theory”, and I retagged it as “algebra-precalculus” because it is only symbol manipulation. I'm not sure “logic computer-science” is much better. There should be a tag “elementary-maths”.
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LierreApr 21 '12 at 19:55

Thank you for answering. However, your answer is not what I am looking for. What I am looking for is that the operation above can be reduced using AND operation. I am looking for how to use AND to shortcut this operation... Thanks
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jjittiApr 21 '12 at 22:06

@jjitti: using AND only, it is impossible, because AND is monotonic while XOR is not. If you want to express XOR with AND and NOT, then use Fernando's answer. Otherwise I don't know what do you want to do.
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sdcvvcApr 21 '12 at 22:13

Thank you for answering. However, your answer is not what I am looking for. What I am looking for is that the operation above can be reduced using AND operation. I am looking for how to use AND to shortcut this operation... Thanks
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jjittiApr 21 '12 at 22:06